Mathematical Biosciences and Engineering (Aug 2024)

Refined matrix completion for spectrum estimation of heart rate variability

  • Lei Lu ,
  • Tingting Zhu,
  • Ying Tan,
  • Jiandong Zhou,
  • Jenny Yang,
  • Lei Clifton,
  • Yuan-Ting Zhang,
  • David A. Clifton

DOI
https://doi.org/10.3934/mbe.2024296
Journal volume & issue
Vol. 21, no. 8
pp. 6758 – 6782

Abstract

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Heart rate variability (HRV) is an important metric in cardiovascular health monitoring. Spectral analysis of HRV provides essential insights into the functioning of the cardiac autonomic nervous system. However, data artefacts could degrade signal quality, potentially leading to unreliable assessments of cardiac activities. In this study, we introduced a novel approach for estimating uncertainties in HRV spectrum based on matrix completion. The proposed method utilises the low-rank characteristic of HRV spectrum matrix to efficiently estimate data uncertainties. In addition, we developed a refined matrix completion technique to enhance the estimation accuracy and computational cost. Benchmarking on five public datasets, our model shows effectiveness and reliability in estimating uncertainties in HRV spectrum, and has superior performance against five deep learning models. The results underscore the potential of our developed matrix completion-based statistical machine learning model in providing reliable HRV spectrum uncertainty estimation.

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